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Finding the Fourth Proportional to 3,910.86, 5,397 and 2,142.48

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Solution

The fourth proportional to 3,910.86, 5,397 and 2,142.48 is: 2,956.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.86 : 5,397 = 2,142.48 : x
  2. Step 2: Convert to fraction form
    3,910.86/5,397 = 2,142.48/x
  3. Step 3: Cross multiply
    3,910.86x = 5,397 × 2,142.48
  4. Step 4: Simplify right side
    3,910.86x = 11,562,964.56
  5. Step 5: Solve for x
    x = 11,562,964.56/3,910.86
  6. Step 6: Final answer
    x = 2,956.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.